Search a number
-
+
270266928 = 243233153149
BaseRepresentation
bin10000000110111…
…111001000110000
3200211112222112020
4100012333020300
51023142020203
642452431440
76461142141
oct2006771060
9624488466
10270266928
111296165a8
1276618580
1343cba479
1427c73ac8
1518ad9153
hex101bf230

270266928 has 160 divisors (see below), whose sum is σ = 771379200. Its totient is φ = 81269760.

The previous prime is 270266879. The next prime is 270266933. The reversal of 270266928 is 829662072.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 270266928.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1813798 + ... + 1813946.

It is an arithmetic number, because the mean of its divisors is an integer number (4821120).

Almost surely, 2270266928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270266928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385689600).

270266928 is an abundant number, since it is smaller than the sum of its proper divisors (501112272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

270266928 is a wasteful number, since it uses less digits than its factorization.

270266928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 270266928 is about 16439.7970790396. The cubic root of 270266928 is about 646.5433290596.

The spelling of 270266928 in words is "two hundred seventy million, two hundred sixty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 46 48 53 62 69 92 93 106 124 138 149 159 184 186 212 248 276 298 318 368 372 424 447 496 552 596 636 713 744 848 894 1104 1192 1219 1272 1426 1488 1643 1788 2139 2384 2438 2544 2852 3286 3427 3576 3657 4278 4619 4876 4929 5704 6572 6854 7152 7314 7897 8556 9238 9752 9858 10281 11408 13144 13708 13857 14628 15794 17112 18476 19504 19716 20562 23691 26288 27416 27714 29256 31588 34224 36952 37789 39432 41124 47382 54832 55428 58512 63176 73904 75578 78864 82248 94764 106237 110856 113367 126352 151156 164496 181631 189528 212474 221712 226734 244807 302312 318711 363262 379056 424948 453468 489614 544893 604624 637422 726524 734421 849896 906936 979228 1089786 1274844 1453048 1468842 1699792 1813872 1958456 2179572 2549688 2906096 2937684 3916912 4359144 5099376 5630561 5875368 8718288 11261122 11750736 16891683 22522244 33783366 45044488 67566732 90088976 135133464 270266928